Theorems · Theorem · geometry

Submodule.mem_projectivization_iff_submodule_le

∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  (s : Submodule K V) (x : Projectivization K V), x ∈ Submodule.projectivization s ↔ x.submodule ≤ s

Defined in

Mathlib.LinearAlgebra.Projectivization.Subspace

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModule